Classical Relativistic Many-Body Dynamics (Fundamental Theories of Physics)

M.A. Trump, W.C. Schieve

Published by Springer, 1999
ISBN 10: 079235737X / ISBN 13: 9780792357377
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Synopsis: in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid­ ered to be primarily the work of E.C.G. Stiickelberg in the 1940's, and of L.P. Horwitz and C. Piron in the 1970's, who may be said to have provided the generalization of Stiickelberg's theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co­ variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system.

Review: `...this book offers a very nice and fairly self-contained introduction to the subject of classical relativistic dynamics, which will certainly be of interest to graduate students in physics, and to all scientists whose research involves aspects of special relativity theory.'
Mathematical Reviews 2002e

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Title: Classical Relativistic Many-Body Dynamics (...
Publisher: Springer
Publication Date: 1999
Binding: Hardcover
Book Condition: Good

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Trump, M.A.; Schieve, W.C.
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M. A. Trump, W. C. Schieve
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Book Description Kluwer Academic Publishers, United States, 1999. Hardback. Book Condition: New. 1999 ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid- ered to be primarily the work of E.C.G. Stiickelberg in the 1940 s, and of L.P. Horwitz and C. Piron in the 1970 s, who may be said to have provided the generalization of Stiickelberg s theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co- variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system. Bookseller Inventory # LIE9780792357377

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Book Description Kluwer Academic Publishers, United States, 1999. Hardback. Book Condition: New. 1999 ed.. Language: English . Brand New Book ***** Print on Demand *****. in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid- ered to be primarily the work of E.C.G. Stiickelberg in the 1940 s, and of L.P. Horwitz and C. Piron in the 1970 s, who may be said to have provided the generalization of Stiickelberg s theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co- variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system. Bookseller Inventory # APC9780792357377

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